41: Reality Is More Than Complex (Group Theor...

In this captivating episode of Breaking Math, hosts Gabriel and Autumn dive deep into chaos theory—a fascinating branch of mathematics that explores the behavior of complex systems highly sensitive to initial conditions. They break down the butterfly effect, revealing how tiny va ...  Show more

In this episode of Breaking Math, we dive deep into the transformative power of large language models (LLMs) like GPT-4 in the fields of chemistry and materials science, based on the article "14 examples of how LLMs can transform materials science and chemistry: a reflection on a ...  Show more

When math is based on abstract concepts, how do we know it’s correct? Dr. Eugenia Cheng takes on that question in a new book.

The concept of math has been around for a long time, developing independently in many different cultures. In 1650 BC, the Egyptians were ...

It’s commonly believed that the arts and the sciences have little in common with each other. The distinction that’s most frequently made is that the arts are creative in nature whereas the sciences are logical. But this couldn’t be further from the truth. In this episode, we catc ...  Show more

Geometry is one of the oldest disciplines in human history, yet the worlds it can describe extend far beyond its original use. What began thousands of years ago as a way to measure land and build pyramids was given rigor by Euclid in ancient Greece, became applied to curves an ...

The abstract numeral that changed everything, according to mathematician Talithia Williams. Before the introduction of zero, mathematics was a tangible subject, where numbers held weight and substance. With zero came the concept of a mathematical “nothing;” it turned our solid un ...  Show more